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Finding the Fourth Proportional to 247,475.70, 371,140.65 and 97,666.20

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Solution

The fourth proportional to 247,475.70, 371,140.65 and 97,666.20 is: 146,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,475.70 : 371,140.65 = 97,666.20 : x
  2. Step 2: Convert to fraction form
    247,475.70/371,140.65 = 97,666.20/x
  3. Step 3: Cross multiply
    247,475.70x = 371,140.65 × 97,666.20
  4. Step 4: Simplify right side
    247,475.70x = 36,247,896,951.03
  5. Step 5: Solve for x
    x = 36,247,896,951.03/247,475.70
  6. Step 6: Final answer
    x = 146,470.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.